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Finding the Fourth Proportional to 620.85, 929.91 and 490.20

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Solution

The fourth proportional to 620.85, 929.91 and 490.20 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.85 : 929.91 = 490.20 : x
  2. Step 2: Convert to fraction form
    620.85/929.91 = 490.20/x
  3. Step 3: Cross multiply
    620.85x = 929.91 × 490.20
  4. Step 4: Simplify right side
    620.85x = 455,841.88
  5. Step 5: Solve for x
    x = 455,841.88/620.85
  6. Step 6: Final answer
    x = 734.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.